Professor Leonard Courses

How Embedded Derivatives Can Make Differential Equations Easier

Discover how embedded derivatives simplify complex differential equations, making problem-solving more efficient and accessible for advanced mathematics students.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

Solving Differential Equations with Embedded Derivative Substitutions

Learn a unique technique for solving differential equations by identifying and utilizing embedded derivative substitutions within the equation.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

How to Solve Bernoulli Differential Equations

Learn to solve Bernoulli Differential Equations through clear explanations and multiple examples, enhancing your understanding of this advanced mathematical concept.

• YouTube
• 1 hour 44 minutes
• Self-Paced
• Free Video

Solving Differential Equations with a Composition - Obvious Substitution

Learn techniques for solving differential equations using composition substitution, focusing on obvious substitutions involving function compositions.

• YouTube
• 40 minutes
• Self-Paced
• Free Video

Solving Homogeneous First Order Differential Equations

Learn to solve homogeneous first-order differential equations using separation of variables, with a review of integration techniques for comprehensive understanding.

• YouTube
• 1 hour 55 minutes
• Self-Paced
• Free Video

Substitutions for Homogeneous First Order Differential Equations

Learn techniques for solving homogeneous first-order differential equations using substitutions to transform them into separable equations, enhancing your problem-solving skills in advanced calculus.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Mixture Problems in Linear Differential Equations

Learn to solve complex mixture problems using linear first-order differential equations, enhancing your mathematical problem-solving skills in real-world applications.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Solving Linear Differential Equations with an Integrating Factor

Learn to solve linear first-order differential equations using integrating factors. Explore examples and techniques for tackling these mathematical challenges effectively.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Introduction to Linear Differential Equations and Integrating Factors

Learn to solve linear first-order differential equations using integrating factors, understanding the theory and practical applications of this essential mathematical technique.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Applications with Separable Equations - Differential Equations

Learn to solve real-world problems using separable differential equations, focusing on exponential growth and decay applications in various fields.

• YouTube
• 1 hour 50 minutes
• Self-Paced
• Free Video

Separable Equations with Initial Values

Learn to solve separable differential equations with initial values, a crucial skill in advanced mathematics and engineering applications.

• YouTube
• 35 minutes
• Self-Paced
• Free Video

Separable Differential Equations

Learn to solve separable differential equations using separation of variables, with numerous examples to reinforce understanding and practical application.

• YouTube
• 1 hour 33 minutes
• Self-Paced
• Free Video

Applications of Slope Fields - Differential Equations

Explore real-life applications of slope fields in differential equations, modeling solutions and long-term trends for practical problem-solving.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

Solving Basic Differential Equations with Integration

Learn to solve fundamental differential equations using integration techniques, enhancing your mathematical problem-solving skills.

• YouTube
• 39 minutes
• Self-Paced
• Free Video

Introduction to Initial Value Problems - Differential Equations

Explore initial value problems in differential equations, transitioning from general to particular solutions. Learn their significance and practical applications.

• YouTube
• 29 minutes
• Self-Paced
• Free Video